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1 January, 05:39

Prove identity : (2 cos 2x) / (cot x - tan x) = sin 2x

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  1. 1 January, 05:50
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    Step-by-step explanation:

    (2 cos (2x)) / (cot x - tan x)

    Multiply top and bottom by sin x cos x:

    (2 cos (2x) sin x cos x) / (cos² x - sin² x)

    Use double angle formula:

    (2 cos (2x) sin x cos x) / (cos (2x))

    2 sin x cos x

    Use double angle formula:

    sin (2x)
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